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Finding the Third Proportional to 10,805,088.66 and 23,584,782.66

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Solution

The third proportional to 10,805,088.66 and 23,584,782.66 is: 51,479,630.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805,088.66 : 23,584,782.66 = 23,584,782.66 : x
  2. Step 2: Convert to fraction form
    10,805,088.66/23,584,782.66 = 23,584,782.66/x
  3. Step 3: Cross multiply
    10,805,088.66x = 23,584,782.66 × 23,584,782.66
  4. Step 4: Simplify right side
    10,805,088.66x = 556,241,972,942,550.81
  5. Step 5: Solve for x
    x = 556,241,972,942,550.81/10,805,088.66
  6. Step 6: Final answer
    x = 51,479,630.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.